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Finding the Fourth Proportional to 30,965.28, 42,732.72 and 18,861.60

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Solution

The fourth proportional to 30,965.28, 42,732.72 and 18,861.60 is: 26,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965.28 : 42,732.72 = 18,861.60 : x
  2. Step 2: Convert to fraction form
    30,965.28/42,732.72 = 18,861.60/x
  3. Step 3: Cross multiply
    30,965.28x = 42,732.72 × 18,861.60
  4. Step 4: Simplify right side
    30,965.28x = 806,007,471.55
  5. Step 5: Solve for x
    x = 806,007,471.55/30,965.28
  6. Step 6: Final answer
    x = 26,029.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.